34963864 has 64 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 15058560.

The previous prime is 34963847. The next prime is 34963889. The reversal of 34963864 is 46836943.

It is a self number, because there is not a number n which added to its sum of digits gives 34963864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112269 + ... + 112579.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^34963864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34963864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

34963864 is an abundant number, since it is smaller than the sum of its proper divisors (40515176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34963864 is a wasteful number, since it uses less digits than its factorization.

34963864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The square root of 34963864 is about 5913.0249449837. The cubic root of 34963864 is about 326.9940177279.

The spelling of 34963864 in words is "thirty-four million, nine hundred sixty-three thousand, eight hundred sixty-four".